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Finding the Fourth Proportional to 1,460.09, 2,014.84 and 830.53

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Solution

The fourth proportional to 1,460.09, 2,014.84 and 830.53 is: 1,146.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.09 : 2,014.84 = 830.53 : x
  2. Step 2: Convert to fraction form
    1,460.09/2,014.84 = 830.53/x
  3. Step 3: Cross multiply
    1,460.09x = 2,014.84 × 830.53
  4. Step 4: Simplify right side
    1,460.09x = 1,673,385.07
  5. Step 5: Solve for x
    x = 1,673,385.07/1,460.09
  6. Step 6: Final answer
    x = 1,146.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.